A Multigrid Version of a Simple Finite Element Method for the Stokes Problem

DOI10.2307/2008045zbMath0584.65080OpenAlexW4255678030MaRDI QIDQ3707314

Juhani Pitkäranta, Tuomo Saarinen

Publication date: 1985

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2008045

zbMATH Keywords

convergencenumerical experimentsfinite elementrelaxationStokes equationsconjugate gradientsBabuška-Brezzi stability conditionmultigrid scheme

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (12)

A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition ⋮ Optimal low order finite element methods for incompressible flow ⋮ An optimal order multigrid method for biharmonic, \(C^ 1\) finite element equations ⋮ Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes ⋮ Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem ⋮ Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem ⋮ A macroelement stabilization for mixed finite element/finite volume discretizations of multiphase poromechanics ⋮ Stable \(Q_k-Q_{k-1}\) mixed finite elements with discontinuous pressure ⋮ Unnamed Item ⋮ Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations ⋮ Stabilised vs. stable mixed methods for incompressible flow ⋮ Preconditioners for saddle point problems arising in computational fluid dynamics

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